# High-leg delta

Center-tapped delta transformer

High-leg delta (also known as wild-leg or red-leg delta) is a type of electrical service connection for three-phase electric power installations. It is one of the several types of three phase service setups. It is used to provide an additional voltage that is half the phase to phase voltage.

## Supply

Center-tapped delta transformer voltages

This type of service is supplied in one of two ways. One is by a transformer having four wires coming out of the secondary, the three phases, plus a neutral connected as a center-tap on one of the windings. Another method requires two transformers. One transformer is connected to one phase of the overhead primary distribution circuit to provide the 'lighting' side of the circuit (this will be the larger of the two transformers), and a second transformer is connected to another phase on the circuit and its secondary is connected to one side of the 'lighting' transformer secondary, and the other side of this transformer is brought out as the 'high leg'. The voltages between the three phases are the same in magnitude, however the voltage magnitudes between a particular phase and the neutral vary. The phase-to-neutral voltage of two of the phases will be half of the phase-to-phase voltage. The remaining phase-to-neutral voltage will be √3 times half the phase-to-phase voltage. In some applications, the transformer is connected such that the 'B' phase is the 'high' leg.

## Comparison

The system is a delta with a "mid-point" level added. Alternatives is corner-grounded delta.[1] Where the system is grounded has little effect on basic operation. The voltage is such that phase-to-phase voltages are 60 and 120 degrees apart, thus compatible with three-phase equipment.

## Explanation

Phasor diagram showing 240V delta and center-tapped phase (a-c) creating 120V voltages.

Consider the low voltage side of a 120/240 V high leg delta connected transformer, where the 'b' phase is the 'high' leg. The line-to-line voltage magnitudes are all the same:

$V_{ab} = V_{bc} = V_{ca} = 240 V$

Because the winding between the 'a' and 'c' phases is center-tapped, the line-to-neutral voltages for these phases are as follows:

$V_{an} = V_{cn} = \frac{V_{ac}}{2} = 120 V$

But the phase-neutral voltage for the 'b' phase is different:

$V_{bn} = \sqrt{{V_{ab}}^2 - {V_{an}}^2} \approx 208 V$

This can be proven by writing a KVL equation, using angle notation, starting from the grounded neutral:

$0 + 120 \angle 0^\circ + 240 \angle 120^\circ = 120\sqrt{3} \angle 90^\circ$

or:

$0 + 120 sin(0^\circ) + 240 sin(120^\circ) = 120\sqrt{3} = 207.8$

Note: Writing the KVL equation going the other way, the same magnitude is found, though the phase angle will of course be different.

Where the three-phase load is small relative to the total load, two individual transformers may be used instead of the three for a "full delta" or a three-phase transformer, thus providing a variety of voltages at reduced cost. This is called "open-delta high-leg", and has a reduced capacity relative to a full delta.[2][3][4]

One of the phase-to-neutral voltage (phase 'B') is different from the other two.

## Region Specific field applications

### North America

It is often found in older installations. This type of service is usually supplied using 240 V line-to-line and 120 V line-to-neutral. In some ways, the high leg delta service provides the best of both worlds: a line-to-line voltage that is higher than the usual 208 V that most three-phase services have, and a line-to-neutral voltage (on two of the phases) sufficient for connecting appliances and lighting. Thus, large pieces of equipment will draw less current than with 208 V, requiring smaller wire and breaker sizes. Lights and appliances requiring 120 V can be connected to phases 'A' and 'C' without requiring an additional step-down transformer.

#### United States

In the United States, according to Article 110.15 of the 2005 National Electrical Code, panelboards connected to this type of transformer must explicitly identify the high leg, preferably by coloring it orange.

#### Usage

High-leg delta is commonly found in older systems. Current practice is to give separate services for single-phase and three-phase loads, e.g., 120 V split-phase (lighting et cetera) and 240 V to 600 V three-phase (for large motors). However, many jurisdictions forbid more than one class for a premises' service, and the choice may come down to 120/240 single-/three-phase (delta), 120/208 three-phase (wye), or 277/480 three-phase (wye).

The regulatory compliance advance for 480Y/277 volt three-phase system is that 277 single-phase wiring methods and materials are "300 volt class", and lighting circuits can be fed at 277 volts without requiring a step-down transformer. However, 480v three-phase wiring methods and materials are "600 volt class".